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GATE 2023 MN – Question 29

Mining Geology, Mine Development and Surveying · Mine Surveying · 1 mark · Numerical answer

A dump point moves from (200, 700, −60) m to (200.05, 700.1, −60.75) m. Find net displacement in cm, to two decimals.

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Correct answer: 75.00 to 76.50

Explanation

Subtract coordinates to get the displacement vector (0.05, 0.10, −0.75) m. Its magnitude is √(0.05²+0.10²+0.75²) = √0.575 = 0.758288 m. Multiplying by 100 gives 75.83 cm. Displacement magnitude includes all three coordinate changes.

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